4e^6t=10e^5t

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Solution for 4e^6t=10e^5t equation:


Simplifying
4e6t = 10e5t

Solving
4e6t = 10e5t

Solving for variable 'e'.

Reorder the terms:
-10e5t + 4e6t = 10e5t + -10e5t

Combine like terms: 10e5t + -10e5t = 0
-10e5t + 4e6t = 0

Factor out the Greatest Common Factor (GCF), '2e5t'.
2e5t(-5 + 2e) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'e5t' equal to zero and attempt to solve: Simplifying e5t = 0 Solving e5t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e5t = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-5 + 2e)' equal to zero and attempt to solve: Simplifying -5 + 2e = 0 Solving -5 + 2e = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2e = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2e = 0 + 5 2e = 0 + 5 Combine like terms: 0 + 5 = 5 2e = 5 Divide each side by '2'. e = 2.5 Simplifying e = 2.5

Solution

e = {2.5}

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